107811 has 20 divisors (see below), whose sum is σ = 177144. Its totient is φ = 65340.

The previous prime is 107791. The next prime is 107827. The reversal of 107811 is 118701.

It can be divided in two parts, 1078 and 11, that added together give a square (1089 = 33^{2}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=33.

It is not a de Polignac number, because 107811 - 2^{6} = 107747 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (107881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9796 + ... + 9806.

2^{107811} is an apocalyptic number.

107811 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107811 is a deficient number, since it is larger than the sum of its proper divisors (69333).

107811 is an frugal number, since it uses more digits than its factorization.

107811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 107811 is about 328.3458542452. The cubic root of 107811 is about 47.5942358201.

The spelling of 107811 in words is "one hundred seven thousand, eight hundred eleven".

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